1. What is Fraction Calculator?

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both simplified fraction form and decimal approximation.

2. How Does the Calculator Work?

The calculator performs operations according to standard mathematical rules:

Where:

• Addition: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
• Subtraction: \(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)
• Multiplication: \(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
• Division: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

Explanation: The calculator simplifies the result by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics and essential for various real-world applications including measurements, ratios, and proportional reasoning.

4. Using the Calculator

Tips: Enter integers for numerators and denominators (denominators must be positive). Select the operation type. The calculator will show the result in simplified form with decimal approximation.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. It won't accept zero or negative denominators.

Q2: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by this value.

Q3: Can I enter negative fractions?
A: Yes, you can enter negative numerators but denominators must remain positive.

Q4: What's the precision of decimal results?
A: Decimal results are rounded to 4 decimal places for readability.

Q5: Does it handle mixed numbers?
A: No, this calculator works with simple fractions only. Convert mixed numbers to improper fractions first.